Question

HELP DUE IN 10 MINUTES!!

Find the x- and y-intercepts of the graph of -10x + y = 29. State your answers as whole numbers or as improper fractions in simplest form.

1. X Intercept ??
2. Y Intercept ??

Answer 1

`\\ \sf{:}\!\implies -10x+y=29`

`\\ \sf{:}\!\implies y=10x+29`

Y intercept:-

• x=0

`\\ \sf{:}\!\implies y=10(0)+29`

`\\ \sf{:}\!\implies y=29`

Hence

`\\ \sf{:}\!\implies y=(0,29)`

X intercept:-

`\\ \sf{:}\!\implies 10x=y-29`

`\\ \sf{:}\!\implies x=(y-29)/(10)`

• y=0

`\\ \sf{:}\!\implies x=(0-29)/(10)`

`\\ \sf{:}\!\implies x=(29)/(10)`

Hence

`\\ \sf{:}\!\implies x=\left((29)/(10),0\right)`